Switching in Systems and Control
Switching in Systems and Control
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DOI：
10.1007/978-1-4612-0017-8
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发表时间：
2003-06
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影响因子：
--
通讯作者：
D. Liberzon
中科院分区：
文献类型：
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作者：
D. Liberzon
在实践中遇到的L \lany系统涉及连续动力学和离散事件之间的耦合。这两种动态共存并相互作用的系统通常被称为混合系统。例如，以下现象会产生混合行为：阀门或电源开关开启和关闭；恒温器可以打开和关闭暖气；生长和分裂的生物细胞；队列网络中服务器在缓冲区之间的切换；进入、飞越和离开空中交通管制区的航空器；由于车轮在冰上锁定和解锁而突然改变的汽车动力学。混合系统是目前研究的一个相对较新的和非常活跃的领域。它们提出了有趣的理论挑战，在许多现实世界的问题中都很重要。由于其固有的跨学科性质，该领域吸引了不同背景的人的注意，主要是计算机科学家、应用数学家和工程师。具有连续时间系统和控制理论背景和兴趣的研究人员主要关注连续动力学的性质，如李雅普诺夫稳定性。另一方面，对离散行为的详细研究本身通常不是目标。事实上，与其处理离散动力学的细节，它通常用于描述和分析已知包含特定感兴趣模型的更一般类型的系统。
l\lany systems encountered in practice involve a coupling between contin uous dynamics and discrete events. Systems in which these two kinds of dynamics coexist and interact are usually called hybrid. For example, the following phenomena give rise to hybrid behavior: a valve or a power switch opening and closing; a thermostat turning the heat on and off; biological cells growing and dividing; a server switching between buffers in a queueing network; aircraft entering, crossing, and leaving an air traffic control region; dynamics of a car changing abruptly due to wheels locking and unlocking on ice. Hybrid systems constitute a relatively new and very active area of current research. They present interesting theoretical challenges and are important in many real-world problems. Due to its inherently interdisci plinary nature, the field has attracted the attention of people with diverse backgrounds, primarily computer scientists, applied mathematicians, and engineers. Researchers with a background and interest in continuous-time systems and control theory are concerned primarily with properties of the contin uous dynamics, such as Lyapunov stability. A detailed investigation of the discrete behavior, on the other hand, is usually not a goal in itself. In fact, rather than dealing with specifics of the discrete dynamics, it is often use ful to describe and analyze a more general category of systems which is known to contain a particular model of interest.