# Anti-Saturation Control of Uncertain Time-Delay Systems with Actuator Saturation Constraints

## Abstract

**:**

## 1. Introduction

## 2. Preliminaries

**Lemma**

**1.**

**Lemma**

**2**

- (1)
- $S<0,$
- (2)
- ${S}_{11}<0,{S}_{22}-{S}_{12}^{T}{S}_{11}^{-1}{S}_{12}<0,$
- (3)
- ${S}_{22}<0,{S}_{11}-{S}_{12}{S}_{22}^{-1}{S}_{12}^{T}<0.$

## 3. Main Results

**Theorem**

**1.**

**Proof.**

**Theorem**

**2.**

**Proof.**

**Remark**

**1.**

## 4. Simulation Examples

**Example**

**1.**

**(1)**

**Comparison of systems states simulation results with two algorithms**

**(2)**

**Verification of the systems performance**

**Example**

**2**.

## 5. Conclusions

## Funding

## Conflicts of Interest

## References

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**MDPI and ACS Style**

Yao, H.
Anti-Saturation Control of Uncertain Time-Delay Systems with Actuator Saturation Constraints. *Symmetry* **2019**, *11*, 375.
https://doi.org/10.3390/sym11030375

**AMA Style**

Yao H.
Anti-Saturation Control of Uncertain Time-Delay Systems with Actuator Saturation Constraints. *Symmetry*. 2019; 11(3):375.
https://doi.org/10.3390/sym11030375

**Chicago/Turabian Style**

Yao, Hejun.
2019. "Anti-Saturation Control of Uncertain Time-Delay Systems with Actuator Saturation Constraints" *Symmetry* 11, no. 3: 375.
https://doi.org/10.3390/sym11030375