You are provided with the abstract of a scientific paper and the abstracts of the papers it references. Your task is to write a Related Work section for the main paper. This section should concisely summarize and integrate the key points from the cited abstracts, reflecting how they relate to the main paper's contributions and context. In your summary, use numerical citation markers like [1], [2], etc., to refer to the corresponding papers.

Main Abstract:
The paper addresses the issue of reliability of complex embedded control systems in the safety-critical environment. In this paper, we propose a novel approach to design controller that (i) guarantees the safety of nonlinear physical systems, (ii) enables safe system restart during runtime, and (iii) allows the use of complex, unverified controllers (e.g., neural networks) that drive the physical systems towards complex specifications. We use abstraction-based controller synthesis approach to design a formally verified controller that provides application and system-level fault tolerance along with safety guarantee. Moreover, our approach is implementable using commercial-off-the-shelf (COTS) processing unit. To demonstrate the efficacy of our solution and to verify the safety of the system under various types of faults injected in applications and in the underlying real-time operating system (RTOS), we implemented the proposed controller for the inverted pendulum and three degree-of-freedom (3-DOF) helicopter.

Cited Abstract(s):
[1]: In traditional computing systems, software problems are often resolved by platform restarts. This approach, however, cannot be naively used in cyber-physical systems (CPS). In fact, in this class of systems, ensuring safety strictly depends on the ability to respect hard real-time constraints. Several adaptations of the Simplex architecture have been proposed to guarantee safety in spite of misbehaving software components. However, the problem of performing recovery into a fully operational state has not been extensively addressed. In this work, we discuss how resets can be used in CPS as an effective strategy to recover from a variety of software faults. Our work extends the Simplex architecture in a number of directions. First, we provide sufficient conditions under which safety is guaranteed in spite of fault-induced resets. Second, we introduce a novel technique to express not only state-dependent safety constraints, as typically done in Simplex, but also time-dependent safety properties. Finally, through a proof-of-concept minimal implementation on a small R C helicopter and simulation-based system modeling, we show the effectiveness of the proposed recovery strategy under the assumed fault model.

[2]: Software rejuvenation is the concept of gracefully terminating an application and immediately restarting it at a clean internal state. In a client-server type of application where the server is intended to ran perpetually for providing a service to its clients, rejuvenating the server process periodically during the most idle time of the server increases the availability of that service. In a long-running computation-intensive application, rejuvenating the application periodically and restarting it at a previous checkpoint increases the likelihood of successfully completing the application execution. We present a model for analyzing software rejuvenation in such continuously-running applications and express downtime and costs due to downtime during rejuvenation in terms of the parameters in that model. Threshold conditions for rejuvenation to be beneficial are also derived. We implemented a reusable module to perform software rejuvenation. That module can be embedded in any existing application on a UNIX platform with minimal effort. Experiences with software rejuvenation in a billing data collection subsystem of a telecommunications operations system and other continuously-running systems and scientific applications in AT&T are described. >

[3]: Even after decades of software engineering research, complex computer systems still fail, primarily due to nondeterministic bugs that are typically resolved by rebooting. Conceding that Heisenbugs will remain a fact of life, we propose a systematic investigation of restarts as "high availability medicine." In this paper we show how recursive restartability (RR) - the ability of a system to gracefully tolerate restarts at multiple levels improves fault tolerance, reduces time-to-repair and enables system designers to build flexible, highly available software infrastructures. Using several examples of widely deployed software systems, we identify properties that are required of RR systems and outline an agenda for turning the recursive restartability philosophy into a practical software structuring tool. Finally, we describe infrastructural support for RR systems, along with initial ideas on how to analyze and benchmark such systems.

[4]: In a client-server type system, the server software is required to run continuously for very long periods. Due to repeated and potentially faulty usage by many clients, such software "ages" with time and eventually fails. (, 1995) proposed a technique called "software rejuvenation" in which the software is periodically stopped and then restarted in a "robust" state after proper maintenance. This "renewal" of software prevents (or at least postpones) the crash failure. As the time lost (or the cost incurred) due to the software failure is typically more than the time lost (or the cost incurred) due to rejuvenation, the technique reduces the expected unavailability of the software. We present a quantitative analysis of software rejuvenation. The behavior of the system is represented through a Markov Regenerative Stochastic Petri Net (MRSPN) model which is solved both for steady state as well as transient conditions. We provide a closed-form analytical solution for the steady state expected down time (and the expected cost incurred) due to system unavailability. We also evaluate the optimal rejuvenation interval which minimizes the expected unavailability of the software.

[5]: 

[6]: Recently, the phenomenon of software aging, one in which the state of the software system degrades with time, has been reported. This phenomenon, which may eventually lead to system performance degradation and or crash hang failure, is the result of exhaustion of operating system resources, data corruption, and numerical error accumulation. To counteract software aging, a technique called software rejuvenation has been proposed, which essentially involves occasionally terminating an application or a system, cleaning its internal state and or its environment, and restarting it. Since rejuvenation incurs an overhead, an important research issue is to determine optimal times to initiate this action. In this paper, we first describe how to include faults attributed to software aging in the framework of Gray's software fault classification (deterministic and transient), and study the treatment and recovery strategies for each of the fault classes. We then construct a semi-Markov reward model based on workload and resource usage data collected from the UNIX operating system. We identify different workload states using statistical cluster analysis, estimate transition probabilities, and sojourn time distributions from the data. Corresponding to each resource, a reward function is then defined for the model based on the rate of resource depletion in each state. The model is then solved to obtain estimated times to exhaustion for each resource. The result from the semi-Markov reward model are then fed into a higher-level availability model that accounts for failure followed by reactive recovery, as well as proactive recovery. This comprehensive model is then used to derive optimal rejuvenation schedules that maximize availability or minimize downtime cost.

[7]: A significant fraction of software failures in large-scale Internet systems are cured by rebooting, even when the exact failure causes are unknown. However, rebooting can be expensive, causing nontrivial service disruption or downtime even when clusters and failover are employed. In this work we separate process recovery from data recovery to enable microrebooting -- a fine-grain technique for surgically recovering faulty application components, without disturbing the rest of the application. We evaluate microrebooting in an Internet auction system running on an application server. Microreboots recover most of the same failures as full reboots, but do so an order of magnitude faster and result in an order of magnitude savings in lost work. This cheap form of recovery engenders a new approach to high availability: microreboots can be employed at the slightest hint of failure, prior to node failover in multi-node clusters, even when mistakes in failure detection are likely; failure and recovery can be masked from end users through transparent call-level retries; and systems can be rejuvenated by parts, without ever being shut down.

[8]: This paper demonstrates that the dependability of generic, evolving J2EE applications can be enhanced through a combination of a few recovery-oriented techniques. Our goal is to reduce downtime by automatically and efficiently recovering from a broad class of transient software failures without having to modify applications. We describe here the integration of three new techniques into JBoss, an open-source J2EE application server. The resulting system is JAGR-JBoss with application-generic recovery - a self-recovering execution platform. JAGR combines application-generic failure-path inference (AFPI), path-based failure detection, and micro-reboots. AFPI uses controlled fault injection and observation to infer paths that faults follow through a J2EE application. Path-based failure detection uses tagging of client requests and statistical analysis to identify anomalous component behavior. Micro-reboots are fast reboots we perform at the sub-application level to recover components from transient failures; by selectively rebooting only those components that are necessary to repair the failure, we reduce recovery time. These techniques are designed to be autonomous and application-generic, making them well suited to the rapidly changing software of Internet services.
Most of the previous works on restarting are proposed for traditional safety-critical computing systems such as servers and switches. Authors in [3] introduce recursively restartable systems as a design paradigm for highly available systems and use a combination of revival and rejuvenation techniques. Earlier literature [5] [8] [7] illustrates the concept of microreboot which consists of having fine-grain rebootable components and trying to restart them from the smallest component to the biggest one in the presence of faults. The works in [6] [4] [2] focus on failure and fault modeling and try to find an optimal rejuvenation strategy for various systems. In this context, our previous work in Reset-Based Recovery [1] was an attempt to utilize restarting as a recovery method for computing systems in safety-critical environments. In [1] , we used System-Level Simplex architecture and proposed to restart only the complex subsystem upon the occurrence of faults. This is feasible because the safety subsystem runs on a dedicated hardware unit and is not impacted by the restarts in the complex subsystem. The approach of the current paper is significantly different and uses only one hardware unit.